{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Table of Contents](./table_of_contents.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Nonlinear Filtering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from __future__ import division, print_function\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <style>\n",
       "        .output_wrapper, .output {\n",
       "            height:auto !important;\n",
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       "        }\n",
       "        .output_scroll {\n",
       "            box-shadow:none !important;\n",
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       "<IPython.core.display.HTML object>"
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     },
     "execution_count": 2,
     "metadata": {},
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    }
   ],
   "source": [
    "#format the book\n",
    "import book_format\n",
    "book_format.set_style()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "The Kalman filter that we have developed uses linear equations, and so the filter can only handle linear problems. But the world is nonlinear, and so the classic filter that we have been studying to this point can have very limited utility. \n",
    "\n",
    "There can be nonlinearity in the process model. Suppose we want to track an object falling through the atmosphere. The acceleration of the object depends on the drag it encounters. Drag depends on air density, and the air density decreases with altitude. In one dimension this can be modelled with the nonlinear differential equation\n",
    "\n",
    "$$\\ddot x = \\frac{0.0034ge^{-x/22000}\\dot x^2}{2\\beta} - g$$\n",
    "\n",
    "A second source of nonlinearity comes from the measurements. For example, radars measure the slant range to an object, and we are typically interested in the aircraft's position over the ground. We invoke Pythagoras and get the nonlinear equation:\n",
    "\n",
    "$$x=\\sqrt{\\mathtt{slant}^2 - \\mathtt{altitude}^2}$$\n",
    "\n",
    "These facts were not lost on the early adopters of the Kalman filter. Soon after Dr. Kalman published his paper people began working on how to extend the Kalman filter for nonlinear problems. \n",
    "\n",
    "It is almost true to state that the only equation anyone knows how to solve is $\\mathbf{Ax}=\\mathbf{b}$. We only really know how to do linear algebra. I can give you any linear set of equations and you can either solve it or prove that it has no solution. \n",
    "\n",
    "Anyone with formal education in math or physics has spent years learning various analytic ways to solve integrals, differential equations and so on. Yet even trivial physical systems produce equations that cannot be solved analytically. I can take an equation that you are able to integrate, insert a $\\log$ term, and render it insolvable. This leads to jokes about physicists stating \"assume a spherical cow on a frictionless surface in a vacuum...\". Without making extreme simplifications most physical problems do not have analytic solutions.\n",
    "\n",
    "How do we do things like model airflow over an aircraft in a computer, or predict weather, or track missiles with a Kalman filter?  We retreat to what we know: $\\mathbf{Ax}=\\mathbf{b}$. We find some way to linearize the problem, turning it into a set of linear equations, and then use linear algebra software packages to compute an approximate solution. \n",
    "\n",
    "Linearizing a nonlinear problem gives us inexact answers, and in a recursive algorithm like a Kalman filter or weather tracking system these small errors can sometimes reinforce each other at each step, quickly causing the algorithm to spit out nonsense. \n",
    "\n",
    "What we are about to embark upon is a difficult problem. There is not one obvious, correct, mathematically optimal solution anymore. We will be using approximations, we will be introducing errors into our computations, and we will forever be battling filters that *diverge*, that is, filters whose numerical errors overwhelm the solution. \n",
    "\n",
    "In the remainder of this short chapter I will illustrate the specific problems the nonlinear Kalman filter faces. You can only design a filter after understanding the particular problems the nonlinearity in your problem causes. Subsequent chapters will then teach you how to design and implement different kinds of nonlinear filters."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Problem with Nonlinearity\n",
    "\n",
    "The mathematics of the Kalman filter is beautiful in part due to the Gaussian equation being so special. It is nonlinear, but when we add and multiply them we get another Gaussian as a result. That is very rare. $\\sin{x}*\\sin{y}$ does not yield a $\\sin$ as an output.\n",
    "\n",
    "What I mean by linearity may be obvious, but there are some subtleties. The mathematical requirements are twofold:\n",
    "\n",
    "* additivity: $f(x+y) = f(x) + f(y)$\n",
    "* homogeneity: $f(ax) = af(x)$\n",
    "\n",
    "\n",
    "This leads us to say that a linear system is defined as a system whose output is linearly proportional to the sum of all its inputs. A consequence of this is that to be linear if the input is zero than the output must also be zero. Consider an audio amp - if I sing into a microphone, and you start talking, the output should be the sum of our voices (input) scaled by the amplifier gain. But if the amplifier outputs a nonzero signal such as a hum for a zero input the additive relationship no longer holds. This is because linearity requires that $amp(voice) = amp(voice + 0)$. This clearly should give the same output, but if amp(0) is nonzero, then\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "amp(voice) &= amp(voice + 0) \\\\\n",
    "&= amp(voice) + amp(0) \\\\\n",
    "&= amp(voice) + non\\_zero\\_value\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "which is clearly nonsense. Hence, an apparently linear equation such as\n",
    "\n",
    "$$L(f(t)) = f(t) + 1$$\n",
    "\n",
    "is not linear because $L(0) = 1$. Be careful!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## An Intuitive Look at the Problem\n",
    "\n",
    "I particularly like the following way of looking at the problem, which I am borrowing from Dan Simon's *Optimal State Estimation* [[1]](#[1]). Consider a tracking problem where we get the range and bearing to a target, and we want to track its position. The reported distance is 50 km, and the reported angle is 90$^\\circ$. Assume that the errors in both range and angle are distributed in a Gaussian manner. Given an infinite number of measurements what is the expected value of the position?\n",
    "\n",
    "I have been recommending using intuition to gain insight, so let's see how it fares for this problem. We might reason that since the mean of the range will be 50 km, and the mean of the angle will be 90$^\\circ$, that the answer will be x=0 km, y=50 km.\n",
    "\n",
    "Let's plot that and find out. Here are 3000 points plotted with a normal distribution of the distance of 0.4 km, and the angle having a normal distribution of 0.35 radians. We compute the average of the all of the positions, and display it as a star. Our intuition is displayed with a large circle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from numpy.random import randn\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "N = 5000\n",
    "a = np.pi/2. + (randn(N) * 0.35)\n",
    "r = 50.0     + (randn(N) * 0.4)\n",
    "xs = r * np.cos(a)\n",
    "ys = r * np.sin(a)\n",
    "\n",
    "plt.scatter(xs, ys, label='Sensor', color='k', \n",
    "            alpha=0.4, marker='.', s=1)\n",
    "xmean, ymean = sum(xs) / N, sum(ys) / N\n",
    "plt.scatter(0, 50, c='k', marker='o', s=200, label='Intuition')\n",
    "plt.scatter(xmean, ymean, c='r', marker='*', s=200, label='Mean')\n",
    "plt.axis('equal')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that out intuition failed us because the nonlinearity of the problem forced all of the errors to be biased in one direction. This bias, over many iterations, can cause the Kalman filter to diverge. Even if it doesn't diverge the solution will not be optimal. Linear approximations applied to nonlinear problems yields inaccurate results."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Effect of Nonlinear Functions on Gaussians\n",
    "\n",
    "Gaussians are not closed under an arbitrary nonlinear function. Recall the equations of the Kalman filter - at each evolution we pass the Gaussian representing the state through the process function to get the Gaussian at time $k$. Our process function was always linear, so the output was always another Gaussian.  Let's look at that on a graph. I will take an arbitrary Gaussian and pass it through the function $f(x) = 2x + 1$ and plot the result. We know how to do this analytically, but let's use sampling. I will generate 500,000 points with a normal distribution, pass them through $f(x)$, and plot the results. I do it this way because the next example will be nonlinear, and we will have no way to compute this analytically."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from numpy.random import normal\n",
    "\n",
    "data = normal(loc=0., scale=1., size=500000)\n",
    "plt.hist(2*data + 1, 1000);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is an unsurprising result. The result of passing the Gaussian through $f(x)=2x+1$ is another Gaussian centered around 1. Let's look at the input, nonlinear function, and output at once."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kf_book.book_plots import set_figsize, figsize\n",
    "from kf_book.nonlinear_plots import plot_nonlinear_func\n",
    "\n",
    "def g1(x):\n",
    "    return 2*x+1\n",
    "\n",
    "plot_nonlinear_func(data, g1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> I explain how to plot Gaussians, and much more, in the Notebook *Computing_and_Plotting_PDFs* in the \n",
    "Supporting_Notebooks folder. You can also read it online [here](https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb)[1]\n",
    "\n",
    "The plot labeled 'Input' is the histogram of the original data. This is passed through the  function $f(x)=2x+1$ which is displayed in the chart on the bottom left. The red lines shows how one value, $x=0$ is passed through the function. Each value from input is passed through in the same way to the output function on the right. For the output I computed the mean by taking the average of all the points, and drew the results with the dotted blue line. A solid blue line shows the actual mean for the point $x=0$. The output looks like a Gaussian, and is in fact a Gaussian. We can see that the variance in the output is larger than the variance in the input, and the mean has been shifted from 0 to 1, which is what we would expect given the transfer function $f(x)=2x+1$ The $2x$ affects the variance, and the $+1$ shifts the mean The computed mean, represented by the dotted blue line, is nearly equal to the actual mean. If we used more points in our computation we could get arbitrarily close to the actual value.\n",
    "\n",
    "Now let's look at a nonlinear function and see how it affects the probability distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def g2(x):\n",
    "    return (np.cos(3*(x/2 + 0.7))) * np.sin(0.3*x) - 1.6*x\n",
    "\n",
    "plot_nonlinear_func(data, g2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This result may be somewhat surprising to you. The function looks \"fairly\" linear, but the probability distribution of the output is completely different from a Gaussian.  Recall the equations for multiplying two univariate Gaussians:\n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\mu &=\\frac{\\sigma_1^2 \\mu_2 + \\sigma_2^2 \\mu_1} {\\sigma_1^2 + \\sigma_2^2} \\\\\n",
    "\\sigma &= \\frac{1}{\\frac{1}{\\sigma_1^2} + \\frac{1}{\\sigma_2^2}}\n",
    "\\end{aligned}$$\n",
    "\n",
    "These equations do not hold for non-Gaussians, and certainly do not hold for the probability distribution shown in the 'Output' chart above. \n",
    "\n",
    "Here's another way to look at the same data as scatter plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 30000\n",
    "plt.subplot(121)\n",
    "plt.scatter(data[:N], range(N), alpha=.1, s=1.5)\n",
    "plt.title('Input')\n",
    "plt.subplot(122)\n",
    "plt.title('Output')\n",
    "plt.scatter(g2(data[:N]), range(N), alpha=.1, s=1.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The original data is clearly Gaussian, but the data passed through `g2(x)` is no longer normally distributed. There is a thick band near -3, and the points are unequally distributed on either side of the band. If you compare this to the pdf labelled 'output' in the previous chart you should be able to see how the pdf shape matches the distribution of `g(data)`.\n",
    "\n",
    "Think of what this implies for the Kalman filter algorithm of the previous chapter. All of the equations assume that a Gaussian passed through the process function results in another Gaussian. If this is not true then all of the assumptions and guarantees of the Kalman filter do not hold. Let's look at what happens when we pass the output back through the function again, simulating the next step time step of the Kalman filter."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y = g2(data)\n",
    "plot_nonlinear_func(y, g2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see the probability function is further distorted from the original Gaussian. However, the graph is still somewhat symmetric around x=0, let's see what the mean is."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "input  mean, variance: -0.0014, 1.0015\n",
      "output mean, variance: -0.1224, 2.4071\n"
     ]
    }
   ],
   "source": [
    "print('input  mean, variance: %.4f, %.4f' % \n",
    "      (np.mean(data), np.var(data)))\n",
    "print('output mean, variance: %.4f, %.4f' % \n",
    "      (np.mean(y), np.var(y)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's compare that to the linear function that passes through (-2,3) and (2,-3), which is very close to the nonlinear function we have plotted. Using the equation of a line we have\n",
    "\n",
    "$$m=\\frac{-3-3}{2-(-2)}=-1.5$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "output mean, variance: 0.0021, 2.2534\n"
     ]
    }
   ],
   "source": [
    "def g3(x): \n",
    "    return -1.5 * x\n",
    "\n",
    "plot_nonlinear_func(data, g3)\n",
    "out = g3(data)\n",
    "print('output mean, variance: %.4f, %.4f' % \n",
    "      (np.mean(out), np.var(out)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Although the shapes of the output are very different, the mean and variance of each are almost the same. This may lead us to reasoning that perhaps we can ignore this problem if the nonlinear equation is 'close to' linear. To test that, we can iterate several times and then compare the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear    output mean, variance: 0.1203, 7493.1028\n",
      "nonlinear output mean, variance: -8.9495, 30582.7186\n"
     ]
    }
   ],
   "source": [
    "out = g3(data)\n",
    "out2 = g2(data)\n",
    "\n",
    "for i in range(10):\n",
    "    out = g3(out)\n",
    "    out2 = g2(out2)\n",
    "print('linear    output mean, variance: %.4f, %.4f' % \n",
    "      (np.average(out), np.std(out)**2))\n",
    "print('nonlinear output mean, variance: %.4f, %.4f' % \n",
    "      (np.average(out2), np.std(out2)**2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Unfortunately the nonlinear version is not stable. It drifted significantly from the mean of 0, and the variance is half an order of magnitude larger.\n",
    "\n",
    "I minimized the issue by using a function that is quite close to a straight line. What happens if the function is $y(x)=-x^2$?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def g3(x): \n",
    "    return -x*x\n",
    "\n",
    "data = normal(loc=1, scale=1, size=500000)\n",
    "plot_nonlinear_func(data, g3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Despite the curve being smooth and reasonably straight at $x=1$ the probability distribution of the output doesn't look anything like a Gaussian and the computed mean of the output is quite different than the value computed directly. This is not an unusual function - a ballistic object moves in a parabola, and this is the sort of nonlinearity your filter will need to handle. If you recall we've tried to track a ball and failed miserably. This graph should give you insight into why the filter performed so poorly."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A 2D Example"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is hard to look at probability distributions and reason about what will happen in a filter. So let's think about tracking an aircraft with radar. The estimate may have a covariance that looks like this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import kf_book.nonlinear_internal as nonlinear_internal\n",
    "\n",
    "nonlinear_internal.plot1()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What happens when we try to linearize this problem? The radar gives us a range to the aircraft. Suppose the radar is directly under the aircraft (x=10) and the next measurement states that the aircraft is 3 miles away (y=3). The positions that could match that measurement form a circle with radius 3 miles, like so."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nonlinear_internal.plot2()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see by inspection that the probable position of the aircraft is somewhere near x=11.4, y=2.7 because that is where the covariance ellipse and range measurement overlap. But the range measurement is nonlinear so we have to linearize it. We haven't covered this material yet, but the Extended Kalman filter will linearize at the last position of the aircraft - (10,2). At x=10 the range measurement has y=3, and so we linearize at that point."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nonlinear_internal.plot3()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we have a linear representation of the problem (literally a straight line) which we can solve. Unfortunately you can see that the intersection of the line and the covariance ellipse is a long way from the actual aircraft position."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nonlinear_internal.plot4()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That sort of error often leads to disastrous results. The error in this estimate is large. But in the next innovation of the filter that very bad estimate will be used to linearize the next radar measurement, so the next estimate is likely to be markedly worse than this one. After only a few iterations the Kalman filter will diverge, and start producing results that have no correspondence to reality.\n",
    "\n",
    "This covariance ellipse spans miles. I exaggerated the size to illustrate the difficulties of highly nonlinear systems. In real radar tracking problems the nonlinearity is usually not that bad, but the errors will still accumulate. Other systems you might work with could have this amount of nonlinearity - this was not an exaggeration only to make a point. You will always be battling divergence when working with nonlinear systems."
   ]
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   "source": [
    "## The Algorithms"
   ]
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    "You may be impatient to solve a specific problem, and wondering which filter to use. I will quickly survey the options. The subsequent chapters are somewhat independent of each other, and you can fruitfully skip around, though I recommend reading linearly if you truly want to master all of the material. \n",
    "\n",
    "The workhorses of nonlinear filters are the *linearized Kalman filter* and *extended Kalman filter* (EKF). These two techniques were invented shortly after Kalman published his paper and they have been the main techniques used since then. The flight software in airplanes, the GPS in your car or phone almost certainly use one of these techniques. \n",
    "\n",
    "However, these techniques are extremely demanding. The EKF linearizes the differential equations at one point, which requires you to find a solution to a matrix of partial derivatives (a Jacobian). This can be difficult or impossible to do analytically. If impossible, you have to use numerical techniques to find the Jacobian, but this is expensive computationally and introduces more error into the system. Finally, if the problem is quite nonlinear the linearization leads to a lot of error being introduced in each step, and the filters frequently diverge. You cannot throw some equations into some arbitrary solver and expect to to get good results. It's a difficult field for professionals. I note that most Kalman filtering textbooks merely gloss over the EKF despite it being the most frequently used technique in real world applications. \n",
    "\n",
    "Recently the field has been changing in exciting ways. First, computing power has grown to the point that we can use techniques that were once beyond the ability of a supercomputer. These use *Monte Carlo* techniques - the computer generates thousands to tens of thousands of random points and tests all of them against the measurements. It then probabilistically kills or duplicates points based on how well they match the measurements. A point far away from the measurement is unlikely to be retained, whereas a point very close is quite likely to be retained. After a few iterations there is a clump of particles closely tracking your object, and a sparse cloud of points where there is no object.\n",
    "\n",
    "This has two benefits. First, the algorithm is robust even for extremely nonlinear problems. Second, the algorithm can track arbitrarily many objects at once - some particles will match the behavior of one object, and other particles will match other objects. So this technique is often used to track automobile traffic, people in crowds, and so on. \n",
    "\n",
    "The costs should be clear. It is computationally expensive to test tens of thousands of points for every step in the filter. But modern CPUs are very fast, and this is a good problem for GPUs because the part of the algorithm is parallelizable. Another cost is that the answer is not mathematical. With a Kalman filter my covariance matrix gives me important information about the amount of error in the estimate. The particle filter does not give me a rigorous way to compute this. Finally, the output of the filter is a cloud of points; I then have to figure out how to interpret it. Usually you will be doing something like taking the mean and standard deviations of the points, but this is a difficult problem. There are still many points that do not 'belong' to a tracked object, so you first have to run some sort of clustering algorithm to first find the points that seem to be tracking an object, and then you need another algorithm to produce a state estimate from those points. None of this is intractable, but it is all quite computationally expensive. \n",
    "\n",
    "\n",
    "Finally, we have a new algorithm called the *unscented Kalman filter* (UKF). It does not require you to find analytic solutions to nonlinear equations, and yet almost always performs better than the EKF. It does well with nonlinear problems - problems where the EKF has significant difficulties. Designing the filter is extremely easy. Some will say the jury is still out on the UKF, but to my mind the UKF is superior in almost every way to the EKF. I suggest that the UKF should be the starting point for any implementation, especially if you are not a Kalman filter professional with a graduate degree in control theory. The main downside is that the UKF can be a few times slower than the EKF, but this really depends on whether the EKF solves the Jacobian analytically or numerically. If numerically the UKF is almost certainly faster. It has not been proven (and probably it cannot be proven) that the UKF always yields more accurate results than the EKF. In practice it almost always does, often significantly so. It is very easy to understand and implement, and I strongly suggest this filter as your starting point. "
   ]
  },
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   "source": [
    "## Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The world is nonlinear, but we only really know how to solve linear problems. This introduces significant difficulties for Kalman filters. We've looked at how nonlinearity affects filtering in 3 different but equivalent ways, and I've given you a brief summary of the major appoaches: the linearized Kalman filter, the extended Kalman filter, the Unscented Kalman filter, and the particle filter. \n",
    "\n",
    "Until recently the linearized Kalman filter and EKF have been the standard way to solve these problems. They are very difficult to understand and use, and they are also potentially very unstable. \n",
    "\n",
    "Recent developments have offered what are to my mind superior approaches. The UKF dispenses with the need to find solutions to partial differential equations, yet it is also usually more accurate than the EKF. It is easy to use and understand. I can get a basic UKF going in a few minutes by using FilterPy. The particle filter dispenses with mathematical modeling completely in favor of a Monte Carlo technique of generating a random cloud of thousands of points. It runs slowly, but it can solve otherwise intractable problems with relative ease.\n",
    "\n",
    "I get more email about the EKF than anything else; I suspect that this is because most treatments in books, papers, and on the internet use the EKF. If your interest is in mastering the field of course you will want to learn about the EKF. But if you are just trying to get good results I point you to the UKF and particle filter first. They are much easier to implement, understand, and use, and they are typically far more stable than the EKF. \n",
    "\n",
    "Some will quibble with that advice. A lot of recent publications are devoted to a comparison of the EKF, UKF, and perhaps a few other choices for a given problem. Do you not need to perform a similar comparison for your problem? If you are sending a rocket to Mars then of course you do. You will be balancing issues such as accuracy, round off errors, divergence, mathematical proof of correctness, and the computational effort required. I can't imagine not knowing the EKF intimately. \n",
    "\n",
    "On the other hand the UKF works spectacularly! I use it at work for real world applications. I mostly haven't even tried to implement an EKF for these applications because I can verify that the UKF is working fine. Is it possible that I might eke out another 0.2% of performance from the EKF in certain situations? Sure! Do I care? No! I completely understand the UKF implementation, it is easy to test and verify, I can pass the code to others and be confident that they can understand and modify it, and I am not a masochist that wants to battle difficult equations when I already have a working solution. If the UKF or particle filters start to perform poorly for some problem then I will turn to other techniques, but not before then. And realistically, the UKF usually provides substantially better performance than the EKF over a wide range of problems and conditions. If \"really good\" is good enough I'm going to spend my time working on other problems. \n",
    "\n",
    "I'm belaboring this point because in most textbooks the EKF is given center stage, and the UKF is either not mentioned at all or just given a 2 page gloss that leaves you completely unprepared to use the filter. The UKF is still relatively new, and it takes time to write new editions of books. At the time many books were written the UKF was either not discovered yet, or it was just an unproven but promising curiosity. But as I am writing this now, the UKF has had enormous success, and it needs to be in your toolkit. That is what I will spend most of my effort trying to teach you. "
   ]
  },
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   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "<A name=\"[1]\">[1]</A> https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python/blob/master/Supporting_Notebooks/Computing_and_plotting_PDFs.ipynb"
   ]
  }
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